Divergence-free finite-difference method for 2D ideal MHD

The divergence-free finite-difference scheme for 2d ideal MHD using triangular unstructured staggered grids is described. In this approach the density, pressure and velocity fields are attributed to grid cells and magnetic field is defined by its normal components in cells edges. The HLLD approximat...

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Bibliographic Details
Published inJournal of physics. Conference series Vol. 1336; no. 1; pp. 12026 - 12035
Main Authors Avdeeva, E.N., Lukin, V.V.
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.11.2019
Subjects
Basis functions
Divergence
Finite difference method
Magnetic fields
Magnetohydrodynamics
Physics
Riemann solver
Velocity distribution
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Summary:The divergence-free finite-difference scheme for 2d ideal MHD using triangular unstructured staggered grids is described. In this approach the density, pressure and velocity fields are attributed to grid cells and magnetic field is defined by its normal components in cells edges. The HLLD approximate Riemann solver is used to compute the numerical flux of gas-dynamics variables at edges. It also provides the electrical field values used to compute the magnetic field. The magnetic field is interpolated into the cells using Raviart - Thomas basis functions. The algorythm is implemented in parallel numerical code. The method is tested on several well-known two-dimensional MHD problems.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1336/1/012026